Universität Wien

250066 VO Mathematical Ecology and Pattern Formation (2025W)

5.00 ECTS (3.00 SWS), SPL 25 - Mathematik
Moodle

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Details

Language: English

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

Every second week the Tuesday timeslot will be used for the exercise class (see dates there).

  • Monday 06.10. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 07.10. 09:45 - 11:15 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 13.10. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 20.10. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 21.10. 09:45 - 11:15 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 27.10. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 03.11. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 04.11. 09:45 - 11:15 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 10.11. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 17.11. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 18.11. 09:45 - 11:15 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 24.11. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 01.12. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 02.12. 09:45 - 11:15 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 15.12. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 16.12. 09:45 - 11:15 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 12.01. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 13.01. 09:45 - 11:15 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 19.01. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 26.01. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock

Information

Aims, contents and method of the course

The goals of the lecture is to give students a solid toolbox to derive and analyse models for population dynamics (ecology) and pattern formation.

Pre-requisites are: Basic knowledge of ordinary differential equations (ODEs), knowledge of Linear Algebra and Analysis.

* The discussed tools will include general differential equations analysis, stability analysis (ODEs, PDEs), phase plane analysis, bifurcations and eigenvalue analysis.

* The modelled phenomena will include population dynamics, both structured and unstructured (competition, symbiosis, etc.), disease dynamics, and developmental biology.

* We will discuss famous pattern formation concepts such as the French Flag model and Turing patterns.

* The model types will include both ordinary and partial differential equations, discrete and continuous in time models and systems of equations.

Assessment and permitted materials

Written exam

Minimum requirements and assessment criteria

Obtaining at least a threshold percentage of points at the written exam.

Examination topics

All topics discussed during lectures

Reading list

All optional!

Sarah P. Otto, Troy Day: A Biologist’s Guide to Mathematical Modeling in Ecology
and Evolution, Princeton University Press

Mark Kot: Elements of Mathematical Ecology, Cambridge University Press

Linda Allen: An Introduction to Stochastic Processes with Applications to Biology,
Prentice Hall

Gerald Teschl: Ordinary Differential Equations and Dynamical Systems, American
Mathematical Society, pdf online at www.mat.univie.ac.at/~gerald/ftp/book-ode/

Association in the course directory

MBIV; ML2; MEL

Last modified: We 14.01.2026 17:07